Home / 101,900-223,463

Finding the Third Proportional to 101,900 and 223,463

Calculator

Solution

The third proportional to 101,900 and 223,463 is: 490,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,900 : 223,463 = 223,463 : x
  2. Step 2: Convert to fraction form
    101,900/223,463 = 223,463/x
  3. Step 3: Cross multiply
    101,900x = 223,463 × 223,463
  4. Step 4: Simplify right side
    101,900x = 49,935,712,369
  5. Step 5: Solve for x
    x = 49,935,712,369/101,900
  6. Step 6: Final answer
    x = 490,046.25

Related Problems

Find third proportional to 50,950 and 111,731.50
Half scale
Find third proportional to 203,800 and 446,926
Double scale
Find third proportional to 101,902 and 223,467
Similar ratio
Find third proportional to 152,850 and 335,194.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.